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Finding the Fourth Proportional to 357.61, 536.07 and 113.98

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Solution

The fourth proportional to 357.61, 536.07 and 113.98 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.61 : 536.07 = 113.98 : x
  2. Step 2: Convert to fraction form
    357.61/536.07 = 113.98/x
  3. Step 3: Cross multiply
    357.61x = 536.07 × 113.98
  4. Step 4: Simplify right side
    357.61x = 61,100.35
  5. Step 5: Solve for x
    x = 61,100.35/357.61
  6. Step 6: Final answer
    x = 170.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.